Chapter 2 · Multiplying and dividing by two-digit numbers

Lesson 2.7 · Multiplying a three-digit number by a two-digit number (2)

Hua's Classroom for Shanghai Maths — One Lesson One Exercise (English edition, pages 40–42).

Grade 3 Second Semester Pages 40–42 ECNU Press

Lesson Alignment

How this Shanghai Maths lesson connects to learning goals, Common Core, and Eureka Math.

Learning Objectives

Students will be able to:

  1. 01Calculate three-digit × two-digit including zeros. (Question 1)
  2. 02Reason about products when a factor doubles or scales. (Question 2)
  3. 03Solve multi-step distance / step-length problems. (Question 3–4)

Common Core Standards

CodeStandard (focus for this lesson)
4.NBT.B.5Multiply with zeros in factors.
3.MD.A.2Measurement applications.

Eureka Math Correspondence

Shanghai MathsFocusEureka Math
ZerosFactor patternsG4 M3
Steps400 steps × 58 cmG3 M2

Core Concepts

Practice with zeros; explore how changing factors affects product.

Zeros in Factors

Track place value when a factor has a zero in the middle or end.

Product Patterns

If one factor doubles and the other is scaled, predict the new product.

Step Length

$400 \times 58\ \text{cm}$ → convert to metres for home-to-school distance.

Key Terms & Definitions (Reference)

Quick glossary for this lesson.

TermDefinition
Zero in factorAffects partial products and alignment.
ScaleMultiply factor by a number → product scales.

Key Answers

Quick reference for this lesson’s exercise answers.

1. Column / boxes

  • $465\times28=13020$
  • $28\times500=14000$;\; $220\times400=88000$;\; $560\times120=67200$
  • From $32\times45=1440$: $320\times4500$,\; $32\times45000$,\; $3200\times450$,\; $32000\times45$ (all $=1440000$)

2. Multiple choice

  1. A ($17220$)
  2. D ($3375$)
  3. C (at least $3$)
  4. A ($1200$)

3. True / false

  1. True
  2. True
  3. True

4. Column method

  • $349\times57=19893$;\; $608\times22=13376$;\; $39\times208=8112$
  • $420\times440=184800$;\; $4200\times150=630000$;\; $3500\times1046=3661000$

5. Number sentences

  1. $C=9360$
  2. Dividend $8050$

6. Application

  1. $232\,\text{m}$
  2. $12524$ cans

7. Enhancement

  • $1800\,\text{km}$;\; $108000\,\text{km}$;\; $2592000\,\text{km}$